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GCD of 120, 862, 589, 649 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 120, 862, 589, 649 quickly. Get the easiest ways to solve the greatest common divisor of 120, 862, 589, 649 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 120, 862, 589, 649 with Factoring?

Given Input numbers are 120, 862, 589, 649

In the factoring method, we have to find the divisors of all numbers

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862

Divisors of 589 :

The positive integer divisors of 589 that completely divides 589 are.

1, 19, 31, 589

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649


GCD of numbers is the greatest common divisor

So, the GCD (120, 862, 589, 649) = 1.

Find GCD of 120, 862, 589, 649 using Prime Factorization

Given numbers are 120, 862, 589, 649

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 862 are 2 x 431

Prime factors of 589 are 19 x 31

Prime factors of 649 are 11 x 59

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 120, 862, 589, 649 using LCM Formula

Given numbers are 120, 862, 589, 649

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(120, 862) = 51720

GCD(120, 862) = ( 120 x 862 ) / 51720

= 120 / 862

= 120


Step2:

LCM(2, 589) = 1178

GCD(2, 589) = ( 2 x 589 ) / 1178

= 2 / 589

= 2


Step3:

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

= 1 / 649

= 1


So, Greatest Common Divisor of 120, 862, 589, 649 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 120, 862, 589, 649

Given numbers are 120, 862, 589, 649
The greatest common divisor of numbers 120, 862, 589, 649 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 862, 589, 649 is 1.

FAQs on GCD of 120, 862, 589, 649 Calculator

1. What is the GCD of 120, 862, 589, 649?

GCD of given numbers 120, 862, 589, 649 is 1


2. How to calculate the greatest common divisor of 120, 862, 589, 649?

We can find the highest common divisor of 120, 862, 589, 649 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 120, 862, 589, 649 i.e 1.


3. How can I use the GCD of 120, 862, 589, 649Calculator?

Out the numbers 120, 862, 589, 649 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.